In the development phase the teacher is provided with several examples to demonstrate solving equations using the quadratic formula for positive and negative values of a, b and c.Further on, the students have the opportunity to practise this for themselves. The plenary involves deriving and applying the formula to calculate unknown lengths when given the area of a trapezium.
Differentiated Learning Objectives
- All students should be able to use the quadratic formula to solve quadratic equations where the coefficient of a = a and are equal to zero.
- Most students should be able to solve a quadratic equation using the quadratic formula.
- Some students should be able to derive the quadratic equation by completing the square and use it to solve complex problems.
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Proof of Quadratic Formula by Completing the Square